Answer:
25 degrees
Step-by-step explanation:
It's a 90 degree angle so if you subtract 90 from 65 you'll get 25 degrees.
Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.
Scale factor = 540/20
Scale factor = 27
Answer:
The two numbers are 5 and 1. Their product is 5
Step-by-step explanation:
x + y = 6 (*)
x - y = 4 (**)
Let (*) + (**)
--> (x+y) + (x-y) = 6 + 4
<=> 2x = 10 <=> x = 5
Substitute x= 5
(*) <=> 5 + y = 6
<=> y=1
Answer: (x,y) = (5,1)
Their product: x.y = 5x1 = 5
Your answer is 7^(- 2) or
or
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
